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Summary

Working knowledge of the relations of various quantities and their derivatives across a shock wave is useful for any advanced research involving shock waves. Although these relations can be derived in principle by any diligent student of the subject, the derivations are often not trivial, and once derived, neither the approach nor the result can be confidently verified. Comprehensive and analytical, Shock Wave Dynamics: Derivatives and Related Topics includes not only the final results but also the methods, which are of great practical value as examples of mathematical procedure in this field.

The book focuses on shock wave derivatives under various conditions and extensively covers shock-generated vorticity, including a novel analysis of triple points. Special care is given to the presentation of assumptions, implementation requirements, and the illustrative examples included for partial verification of the preceding analysis.

Designed both as a research monograph and for self study, Shock Wave Dynamics is a complete discussion of shock wavedynamics. An analytical exploration of shock wave phenomena, it will be interesting reading for experts in the field of high-speed gas dynamics. Giventoday's emphasis on numerical simulation, it will also be of interest to computational engineers as a source for code verification and validation.

Unsteady, Normal Derivative FormulationSingle Mach ReflectionAppendicesSelective NomenclatureOblique Shock Wave AngleMethod-of-Characteristics for a Single, First-Order Partial Differential EquationOrthogonal Basis DerivativesConditions on the Downstream Side of a Two-Dimensional or Axisymmetric Shock with a Uniform FreestreamConditions on the Downstream Side of a Two-Dimensional or Axisymmetric Shock when the Upstream Flow Is NonuniformOperator FormulationGeneral Derivative FormulationUniform Freestream FormulationElliptic Paraboloid Shock FormulationGlobal, Shock-Based CoordinatesUnsteady State 2 ParametersProblemsReferences

Reviews

"...this monograph develops an esoteric niche within shock wave theory. …treats shock waves from an analytical approach assuming perfect gas. Emanuel has made significant contributions to the theory of shock waves and has selected a number of topics that reflect those contributions."—Shock Waves, 2013

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